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Question: in part c the question ask me to describe the...

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in part (c) the question ask me to describe the motion gemometrically 

it also said there are "two parallel interacting equal fluid vortices"

does it mean two vortices position vector z1,z2 must have the same direction but different magnitute?
but if this is sure,then they cannot move in circular motion about a fix point since the position vector of z1 and z2 always have different direction

 

also how about |z1|^2 +|z^2|?
what does this tell us about the position of vortex 

thank you

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